827260101 has 32 divisors (see below), whose sum is σ = 1274739840. Its totient is φ = 529804800.

The previous prime is 827260099. The next prime is 827260111. The reversal of 827260101 is 101062728.

It is not a de Polignac number, because 827260101 - 2¹ = 827260099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827260111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64981 + ... + 76661.

It is an arithmetic number, because the mean of its divisors is an integer number (39835620).

Almost surely, 2^827260101 is an apocalyptic number.

It is an amenable number.

827260101 is a deficient number, since it is larger than the sum of its proper divisors (447479739).

827260101 is a wasteful number, since it uses less digits than its factorization.

827260101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11794 (or 11788 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 827260101 is about 28762.1296325568. The cubic root of 827260101 is about 938.7444006207.

The spelling of 827260101 in words is "eight hundred twenty-seven million, two hundred sixty thousand, one hundred one".